Rational 2-isogeny partner of Michael Rubinstein’s ICARM curve #5674:
https://elliptic-rank.icarm.cloud/curve/5674
Rubinstein reports rank 8 proved, with eight independent points and a matching 2-descent upper bound, for the quartic twist y^2 = x^3 + 13863018203*x.
Writing A = 13863018203, the rational 2-isogeny
(x,y) -> (x + A/x, y*(x^2-A)/x^2)
gives the global minimal model y^2 = x^3 - 55452072812*x.
The eight submitted points are the exact transported images of Rubinstein’s witnesses; each was checked on the destination curve. Rational isogeny preserves rank and independence modulo torsion. The destination has rational torsion Z/2Z and conductor 6149864758294699174688, equal to the source conductor.
Commentary
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